The following graph is an ogive of a standardized tests scores The vertical axis

Question

The following graph is an ogive of a standardized tests scores The vertical axis in an ogive is the cumulative relative frequency and can also be interpreted as a percentile. Complete parts a through c. (a) Find and interpret the percentile rank of a test score with a value of 120. A test score of 120 corresponds to the 50 th percentile rank since this percentage of test scores are less than or equal to a test score with a value of 120 (b) Find and Interpret the percentile rank of a test score with a value of 140 A test score of 140 corresponds to the th percentile rank since this percentage of test scores are a test score with a value of 140 greater than less than or equal to greater than or equal to less than

Explanation / Answer

As we extend a vertical line from a score of 140 on the x-axis it will cut the given plot at a point which when horizontally extended will cut the y-axis at the 90th percentage mark. Therefore we can safely say that:

A score of 140 corresponds to the 90th percentile rank since this percentage of test scores are less than or equal to a test score with a value of 140.

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